Find the polar equation of a line parallel to the line r cos (0 = 1 and lying at a distance d = 5 from the origin. (Use symbolic notation and fractions where needed.) r =

Q: The integral 15x* - x* - 43x – 19 (x + 1)2(x2 – 6x + 13) can be rewritten as

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Q: 1/2 x2 The result of dx is F(b) – F(a); where F(a) and F(b) are real numbers. What is the value of F…

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Q: If you are going to evaluate the integral f cos x v9 + 25sin-x dx using trigonometric substitution,…

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Q: For mutually exclusive events R1, R2, and R3, we have P(R,) = 0.05, P(R,) = 0.5, and P(R3) = 0.45.…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Compute the given integral. dr 16x2 + 1 +C

A: Here is the solution:

Q: x²-9 dx Given: x3 Using trigonometric substitution, solve for the integral form in terms of 0.

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Q: Consider the following. (If an answer does not exist, enter DNE.) (x) = x6e=x (a) Find the…

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Q: What are the polar coordinates of the point P shown below? 2 3 4

A: This question is related to coordinate systems, we will solve it using given information.

Q: Find the antiderivative F of f that satisfies the given condition. Check your answer by comparing…

A: We know that integration of e^x is e^x. And integration of xn is xn+1/n+1.       Here i attached the…

Q: Find the absolute extrema of f(x) = x − 2 tan^−1 x on [−1,√3], and identify the values of x at which…

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Q: in how many distnct ways can the letters of the word DEEDS be arranged? Oways (Type a whole number)

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Q: What are the polar coordinates of the point A shown below?

A: Given query is to find the coordinates of point A

Q: Assuming that z is a function of x and y, find the equation of the tangent plane and the equations…

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Q: In the diagram below, a and b are vectors such thay cos0 = 1/6. Given thay a= i +j+ pk and b= 2i…

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Q: What will you factor out from the integrand of tanx sec'x dx so that you can transform it to its…

A: To factor out a term such that the given integrand becomes integrable.

Q: dx Using Trigonometric Substitution J- 4 sin 8+C express the answer in terms of x. (x²+ x + 1) ² 4x…

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Q: 4. The surface described by the equation x2 + y + z² = 0 is a(an) (a) elliptic paraboloid symmetric…

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Q: Using integration by parts, which of the following options is true x arcsec x dx ? xdx A. * Arcsec x…

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Q: " + Oy' + 9y = 0, v(0)= 1 and y'(0) = 4.

A: The given IVP is y"+6y'+9y=0,   y(0) =1, y'(0)=4 we have to solve the IVP.

Q: Evaluate the definite integral: 4 dx 0 x2+16

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Q: The equation of the sphere with radius r = V75 and center C(2,1, – 1) is (a) x² + y² + z² + 4x + 2y…

A: The general equation of a sphere with radius r and center a,b,c is x-a2 + y-b2 + z-c2 = r2

Q: %3D Determine the speed along a parameterized path c(t) = (6 sin¬'(t), 3 tan¬(1)) at time t = 0…

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Q: Given: dx Using trigonometric substitution, solve for the integral form in terms of 0. 0 d® B sin² 0…

A: Given: ∫x2-9x3dx Let I=∫x2-9x3dx   To solve this integral we need to do the trigonometric…

Q: dx 4 sin e+C express the answer in terms of x. 3 Using Trigonometric Substitution (x² + x + 1) 2 4/3…

A: Given problem:-

Q: x+V x+V X lim X- 00 V> V x+1 х+1

A: To evaluate: limx→∞x+x+xx+1

Q: Find the derivative of the following function: 2x-1 11. y = %3D Sx +2 13. y = V2x + 6 %3D

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Q: Evaluate the integral. dx :+ C J 22 Va2 – 36 x² /x? - NOTE: Enter the fully simplified answer with…

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Q: For the function g(x) graphed here, find the following limits or explain why they do not exist. lim…

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Q: 2x+11 3. 1 dx, evaluate Consider 3 x² + x – 6 = xp dx X+3 X- 2 X+3 X-2 |(x- 2)° +C In x+3 x-2 In +C…

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Q: Given : S 6x³e**+3 dx. Using integration by parts (S udv = uv - fvdu) and letting u = f(x), dv =…

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Q: Find f. f"(x) = 6 + 6x + 24x2, f(0) = 2, f(1) = 12 f(x) =

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Q: Given: dx x3 Using trigonometric substitution, solve for the integral form in terms of 0.

A: This question can be solved by taking x=3secθ

Q: A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. No…

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Q: Find the length of the following curve. If you have a grapher, you may want to graph the curve to…

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Q: Using Integration By Parts, 2x² e3" dx = u v - |2x2 e3" dx = u v-, -Svau Find u v- Sv du · x3 e 3 dx…

A: Integral

Q: Find the domain of r(t) and the value of r(to). NOTE: Round your answer to two decimal places when…

A: Given,   r(t)=cos(πt)i-ln(t)j+t-16k

Q: Determine the general equation of the plane Ω passing through the point P(1, -4, -5) and parallel to…

A: Given: 2x+4y-z=0 Normal vector of the given plane will be 2, 4, -1

Q: 7. Use the Method of Lagrange Multiplier to find the critical points of the function f(x,y, z) = 2x²…

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Q: What will you factor out from the integrand of csc°(3x)dx so that you can transform it to its…

A: the given integral,         ∫csc6(3x)dx

Q: Ca

A: ∫92-x22dx=∫81-x22dx=∫ 6561-162x2+x4dx=∫ 6561dx-∫ 162x2dx+∫ x4dx=6561x-54x3+x55Add a constant to…

Q: 1. Suppose the odometer on our car is broken and we want to estimate the distance driven over a 30…

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Q: 2. A solid right cylindrical cement block of volume 97 ft³ is to be made, and then painted except…

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Q: Consider the lines defined by the equations (3 : z – 3 = y – 5 = z – 6 and l4(s) = (-2 – 2s, –2s, 6…

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Q: Which interval of 0-values corresponds to the shaded region in the graph of r = f(0) = 2.1 – 0? On…

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Q: Q4/Find The Inverse Laplace Transform By Partial 3s-12 Fraction (s-1) (s2 +8)

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Q: 7.A Water font has a shape sp an inverfed arcular cone with ? base radius 4m nd herght m.lf water is…

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Q: 2) Convert the following rectangular equations to polar equations. a) x² - y = 3y b. 9xy = 1

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Q: c. r cos y = " - - log(x³ + y)

A: As per rule of bartleby we can solve only one question at a time and we can solve only three subpart…

Q: A 10-foot ladder is standing vertically against the side of a building. To show you a related rates…

A: We can solve as follows

Q: Find the most general antiderivative of the function. (Check your answer by differentiation. Use C…

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